Question

prove that √1+cosø/1-cosø = cosecø+cotø
$\sqrt{1 - \cos( ) } \div \csc(?) + \cot(?)$
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Answer 1

Answer:

√1+cos∅/√1-cos∅ = coesc∅ +cot∅

LHS = √1+cos∅/√1-cos∅

By rationalising

√1+cos∅/√1-cos∅ = √(1+cos∅)×(1+cos∅)/1-co∅ × 1+cos∅)

= √(1+cos∅)²/1-cos²∅ [(a+b)(a-b) = a²-b²]

= √(1+cos∅)²/sin²∅). [ sin²∅ = 1-cos²∅]

= 1+cos∅ / sin∅

= 1/sin∅ + cos∅/sin∅

= cosec∅ + cot∅

[1/sin∅ = cosec∅, cos∅/sin∅ = cot∅]

= RHS

Hence proved

(I didn't get the second part of the question)

Answer 2

Answer:

Step-by-step explanation:

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